论文标题

线性运算符的分类满足$(AU,V)=(U,A^RV)$或$(AU,A^rv)=(u,v)$在带有不确定标量产品的矢量空间上

Classification of linear operators satisfying $(Au,v)=(u,A^rv)$ or $(Au,A^rv)=(u,v)$ on a vector space with indefinite scalar product

论文作者

Borges, Victor Senoguchi, Kashuba, Iryna, Sergeichuk, Vladimir V., Sodré, Eduardo Ventilari, Zaidan, André

论文摘要

We classify all linear operators $A:V\to V$ satisfying $(Au,v)=(u,A^rv)$ and all linear operators satisfying $(Au,A^rv)=(u,v)$ with $r=2,3,\dots$ on a complex, real, or quaternion vector space with scalar product given by a nonsingular symmetric, skew-symmetric, Hermitian, or偏斜的形式。

We classify all linear operators $A:V\to V$ satisfying $(Au,v)=(u,A^rv)$ and all linear operators satisfying $(Au,A^rv)=(u,v)$ with $r=2,3,\dots$ on a complex, real, or quaternion vector space with scalar product given by a nonsingular symmetric, skew-symmetric, Hermitian, or skew-Hermitian form.

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